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Results tagged with linear-algebra
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user 7333
Questions about the properties of vector spaces and linear transformations, including linear systems in general.
3
votes
2
answers
185
views
Triangularizing a function matrix with smooth eigenvlaues
Given a matrix with function entries, which are smooth and homogeneous, and having smooth eigenvalues, can we find a conjugating matrix with smooth and homogeneous entries that triangularize the given …
- 2,239
6
votes
2
answers
418
views
Triangularizing a matrix with function entries
Hi Everybody!
Given a matrix, with smooth functions as arguments is there any result which say about its triangularization?
I know that, the question is in affirmative for diagonalizing a matrix whi …
- 2,239
2
votes
1
answer
444
views
Example for pairwise triangularizable but not all three.
I am not able give an example for the following problem on simultaneous triangularization. So, I thought I will post it here.
Give an example of three linear transformations $A,B$ and $C,$ such th …
- 2,239
25
votes
16
answers
4k
views
functions satisfying "one-one iff onto"
Hello Everybody.
I need some more examples for the following really interesting phenomenon:
A function from the class ... is one-one iff it is onto.
Some examples I know:
1) Finite set case: …